y=2(x-3p)(x+p)

Solution for y=2(x-3p)(x+p) equation:

Simplifying
y = 2(x + -3p)(x + p)

Reorder the terms:
y = 2(-3p + x)(x + p)

Reorder the terms:
y = 2(-3p + x)(p + x)

Multiply (-3p + x) * (p + x)
y = 2(-3p * (p + x) + x(p + x))
y = 2((p * -3p + x * -3p) + x(p + x))

Reorder the terms:
y = 2((-3px + -3p2) + x(p + x))
y = 2((-3px + -3p2) + x(p + x))
y = 2(-3px + -3p2 + (p * x + x * x))
y = 2(-3px + -3p2 + (px + x2))

Reorder the terms:
y = 2(-3px + px + -3p2 + x2)

Combine like terms: -3px + px = -2px
y = 2(-2px + -3p2 + x2)
y = (-2px * 2 + -3p2 * 2 + x2 * 2)
y = (-4px + -6p2 + 2x2)

Solving
y = -4px + -6p2 + 2x2

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying
y = -4px + -6p2 + 2x2